Details

Time bar (total: 3.3s)

sample27.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1204
2494
31444
44734
521284
650024

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

31.0b
(sqrt (+ (pow x 2.0) (pow x 2.0)))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
18×*-un-lft-identity
16×unpow-prod-down
11×add-sqr-sqrt
10×add-cube-cbrt
9×distribute-rgt-out
7×distribute-lft-out
4×sqr-pow
2×pow1 distribute-lft1-in sqrt-div distribute-rgt1-in
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 count-2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 36
Calls
1 calls:
204.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

simplify191.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0127240
1372235
22508225
35002225

prune96.0ms

Filtered
23 candidates to 39 candidates (-69.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.1b

Counts
40 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(pow (cbrt x) 2.0)
0.5b
(pow (cbrt x) 2.0)
13.4b
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×cbrt-prod
19×add-cube-cbrt *-un-lft-identity
14×unpow-prod-down
13×pow1
8×add-exp-log pow1/3
6×pow-unpow swap-sqr associate-*r* associate-*l*
5×sqrt-prod
4×pow-pow add-cbrt-cube add-log-exp unswap-sqr sqr-pow
3×rem-sqrt-square
2×pow-to-exp pow-prod-down pow-exp pow-sqr pow-prod-up
1×pow2 sqrt-pow1 pow-plus pow1/2 prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
2.0ms
(pow (cbrt x) 2.0)
3.0ms
(pow (cbrt x) 2.0)
3.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

series195.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt x) (cbrt x))
47.0ms
(pow (cbrt x) 2.0)
48.0ms
(pow (cbrt x) 2.0)
73.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

simplify126.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0288534
11017500
24315451
35001448

prune258.0ms

Filtered
78 candidates to 111 candidates (-42.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1065111
Fresh156
Picked101
Done011
Total10811119

Merged error: 0.1b

Counts
119 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(pow (cbrt x) 2.0)
0.5b
(pow (cbrt x) 2.0)
0.5b
(pow (cbrt x) 2.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×unpow-prod-down
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-to-exp pow-exp sqr-pow
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(pow (cbrt x) 2.0)
2.0ms
(pow (cbrt x) 2.0)
3.0ms
(pow (cbrt x) 2.0)

series165.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
46.0ms
(pow (cbrt x) 2.0)
49.0ms
(pow (cbrt x) 2.0)
46.0ms
(pow (cbrt x) 2.0)

simplify48.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0139366
1370350
21180316
35002309

prune232.0ms

Filtered
63 candidates to 86 candidates (-36.5%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New81586
Fresh189
Picked101
Done011
Total831497

Merged error: 0.1b

Counts
97 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt x) 2.0)
0.7b
(cbrt (pow (cbrt x) 2.0))
0.7b
(cbrt (pow (cbrt x) 2.0))
0.7b
(cbrt (pow (cbrt x) 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
24×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp sqr-pow
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp
Counts
4 → 75
Calls
4 calls:
3.0ms
(pow (cbrt x) 2.0)
4.0ms
(cbrt (pow (cbrt x) 2.0))
3.0ms
(cbrt (pow (cbrt x) 2.0))
3.0ms
(cbrt (pow (cbrt x) 2.0))

series238.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(pow (cbrt x) 2.0)
64.0ms
(cbrt (pow (cbrt x) 2.0))
65.0ms
(cbrt (pow (cbrt x) 2.0))
62.0ms
(cbrt (pow (cbrt x) 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0203537
1518512
21791474
35001457

prune300.0ms

Filtered
68 candidates to 87 candidates (-27.9%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh01212
Picked011
Done011
Total8714101

Merged error: 0.1b

Counts
101 → 14

regimes427.0ms

Accuracy

78.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 1.4b

bsearch19.0ms

Steps
ItersRangePoint
10
-2.4503610416383105e-306
7.189489267438372e-298
1.66592993967514e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013
12613
22613

end0.0ms

sample558.0ms

Algorithm
intervals
Results
408.0ms8002×body80valid

Profiling

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